Question

(9√-81)(-10√64) is the answer -6480i? im confused

Answer 1

Imaginary Numbers

`i=√(-1)`

Solving the Question

`(9√(-81))(-10√(64))`

⇒ Take out i from the first square root:

`= (9i√(81))(-10√(64))`

⇒ Evaluate the square roots:

`= (9i*9)(-10√(64))\\= (9i*9)(-10* 8)`

⇒ Multiply:

`= (81i)(-10* 8)\\= (81i)(-80)\\= -6480i`

Answer

-6480i